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A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices, and four angles. It is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees.

1.
QUADRILATERAL

A quadrilateral is a closed 2D shape and a type of

polygon that has four sides, four vertices and four

Properties of quadrilateral

1-A quadrilateral should be closed 2D shape with 4sides

2-The sum of alll the internal angles of a quadrilateral is equal to 360°

Type of quadrilateral :

There are six type of quadrilateral

1 Trapezium

2 Parallelogram

3 Rectangle

4 Square

5 Rhombus

6 Kite

A trapezium (called trapezoid in the US) is a quadrilateral that has only one pair of parallel

The parallel sides are called "Bases" and the other two sides are called "Legs" or "Lateral

N.B A quadrilateral will be a trapezium if and only if one pair of opposite side are parallel.

A parallelogram is a quadrilateral whose opposite sides are parallel.

PROPERTIES OF PARALLELOGRAM

1 Opposite sides are equal and parallel.

2 Opposite angles are equal.

3 Diagonals are intersect each other at a point.

4 Sum of any two adjacent angles is 180°

A quadrilateral is a closed 2D shape and a type of

polygon that has four sides, four vertices and four

Properties of quadrilateral

1-A quadrilateral should be closed 2D shape with 4sides

2-The sum of alll the internal angles of a quadrilateral is equal to 360°

Type of quadrilateral :

There are six type of quadrilateral

1 Trapezium

2 Parallelogram

3 Rectangle

4 Square

5 Rhombus

6 Kite

A trapezium (called trapezoid in the US) is a quadrilateral that has only one pair of parallel

The parallel sides are called "Bases" and the other two sides are called "Legs" or "Lateral

N.B A quadrilateral will be a trapezium if and only if one pair of opposite side are parallel.

A parallelogram is a quadrilateral whose opposite sides are parallel.

PROPERTIES OF PARALLELOGRAM

1 Opposite sides are equal and parallel.

2 Opposite angles are equal.

3 Diagonals are intersect each other at a point.

4 Sum of any two adjacent angles is 180°

2.
N.B- A trapezium will be a parallelogram if and only if the legs of trapezium are equal.

A Rectangle is a quadrilateral whose opposite sides are equal and parallel, all the angles are

right angle.

Properties of rectangle

1 Opposite sides are equal and parallel.

2 Every angle is the right angle.

3 Diagonals bisect each other.

4 Diagonals are equal in length.

N.B- (i) A trapezium will be a rectangle if and only if the legs are parallel and every angle are

right angle.

(ii) A parallelogram will be a rectangle if and only if every angle of the parallelogram is the right

Square is a quadrilateral whose every side is equal, opposite sides are parallel and all the

angles are right angle.

Properties of square

1 Every side is equal.

2 Every angle is the right angle.

3 Diagonals are bisect each other perpendicularly.

4 Diagonals are equal.

N.B- (i) Rectangle will be a square if and only if the adjacent sides are equal.

(ii) A rhombus will be a square if and only if at least one angle of the rhombus is right angle.

A Rectangle is a quadrilateral whose opposite sides are equal and parallel, all the angles are

right angle.

Properties of rectangle

1 Opposite sides are equal and parallel.

2 Every angle is the right angle.

3 Diagonals bisect each other.

4 Diagonals are equal in length.

N.B- (i) A trapezium will be a rectangle if and only if the legs are parallel and every angle are

right angle.

(ii) A parallelogram will be a rectangle if and only if every angle of the parallelogram is the right

Square is a quadrilateral whose every side is equal, opposite sides are parallel and all the

angles are right angle.

Properties of square

1 Every side is equal.

2 Every angle is the right angle.

3 Diagonals are bisect each other perpendicularly.

4 Diagonals are equal.

N.B- (i) Rectangle will be a square if and only if the adjacent sides are equal.

(ii) A rhombus will be a square if and only if at least one angle of the rhombus is right angle.

3.
A rhombus is a quadrilateral whose all sides are equal in length and opposite sides are parallel.

N.B- A rhombus with right angles would become a square. Another name for rhombus is the

diamond suit in playing cards.

PROPERTIES OF RHOMBUS

1 Every side is equal.

2 Opposite angles are equal.

3 Opposite sides are parallel.

4 Diagonals bisect each other perpendicularly.

5 Sum of any two adjacent angles is 180°.

A kite is a quadrilateral whose two pair of adjacent sides are equal.

N.B- A rhombus with right angles would become a square. Another name for rhombus is the

diamond suit in playing cards.

PROPERTIES OF RHOMBUS

1 Every side is equal.

2 Opposite angles are equal.

3 Opposite sides are parallel.

4 Diagonals bisect each other perpendicularly.

5 Sum of any two adjacent angles is 180°.

A kite is a quadrilateral whose two pair of adjacent sides are equal.